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30181120 = 285171973
BaseRepresentation
bin111001100100…
…0011100000000
32002210100201021
41303020130000
530211243440
62554515224
7514351414
oct163103400
962710637
1030181120
1116044582
12a135b14
136339568
144018d44
1529b284a
hex1cc8700

30181120 has 144 divisors (see below), whose sum is σ = 81678240. Its totient is φ = 10616832.

The previous prime is 30181117. The next prime is 30181127. The reversal of 30181120 is 2118103.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30181094 and 30181103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30181127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413404 + ... + 413476.

It is an arithmetic number, because the mean of its divisors is an integer number (567210).

Almost surely, 230181120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40839120).

30181120 is an abundant number, since it is smaller than the sum of its proper divisors (51497120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30181120 is a wasteful number, since it uses less digits than its factorization.

30181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 30181120 is about 5493.7346131753. The cubic root of 30181120 is about 311.3473096705.

Adding to 30181120 its reverse (2118103), we get a palindrome (32299223).

The spelling of 30181120 in words is "thirty million, one hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 73 76 80 85 95 128 136 146 152 160 170 190 256 272 292 304 320 323 340 365 380 544 584 608 640 646 680 730 760 1088 1168 1216 1241 1280 1292 1360 1387 1460 1520 1615 2176 2336 2432 2482 2584 2720 2774 2920 3040 3230 4352 4672 4864 4964 5168 5440 5548 5840 6080 6205 6460 6935 9344 9928 10336 10880 11096 11680 12160 12410 12920 13870 18688 19856 20672 21760 22192 23360 23579 24320 24820 25840 27740 39712 41344 44384 46720 47158 49640 51680 55480 79424 82688 88768 93440 94316 99280 103360 110960 117895 158848 177536 188632 198560 206720 221920 235790 317696 355072 377264 397120 413440 443840 471580 754528 794240 887680 943160 1509056 1588480 1775360 1886320 3018112 3772640 6036224 7545280 15090560 30181120